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Finding the Fourth Proportional to 45,758, 68,645.64 and 21,134

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Solution

The fourth proportional to 45,758, 68,645.64 and 21,134 is: 31,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,758 : 68,645.64 = 21,134 : x
  2. Step 2: Convert to fraction form
    45,758/68,645.64 = 21,134/x
  3. Step 3: Cross multiply
    45,758x = 68,645.64 × 21,134
  4. Step 4: Simplify right side
    45,758x = 1,450,756,955.76
  5. Step 5: Solve for x
    x = 1,450,756,955.76/45,758
  6. Step 6: Final answer
    x = 31,704.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.